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Finding the Third Proportional to 7,998.75 and 12,451.13

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Solution

The third proportional to 7,998.75 and 12,451.13 is: 19,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 12,451.13 = 12,451.13 : x
  2. Step 2: Convert to fraction form
    7,998.75/12,451.13 = 12,451.13/x
  3. Step 3: Cross multiply
    7,998.75x = 12,451.13 × 12,451.13
  4. Step 4: Simplify right side
    7,998.75x = 155,030,513.77
  5. Step 5: Solve for x
    x = 155,030,513.77/7,998.75
  6. Step 6: Final answer
    x = 19,381.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.